Approximation, Optimization and Mathematical EconomicsMarc Lassonde The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics. |
Contents
| 1 | |
Topological Essentiality | 15 |
Convergence of the Trajectories | 30 |
Characterizing the Premium at the Equilibrium | 47 |
Implementation | 64 |
Terminology and Notations | 72 |
Conclusions | 79 |
Best Trigonometric Approximation | 85 |
Observable Instability for the Repeated Prisoners Dilemma | 223 |
Pattern Recognition | 236 |
Computational Results | 250 |
83 | 252 |
Regularization in Special Classes of Functions | 268 |
Radial Basis Functions | 276 |
89 | 282 |
Summary and Conclusion | 283 |
Classical Overlapping Generations Models with Incomplete | 96 |
The Truncated Economy | 105 |
Proofs | 111 |
The Cost Vector | 119 |
The Default Cubic ASpline | 134 |
Conclusions | 144 |
The Pondered Veto Mechanism | 151 |
A Relaxed Cutting Plane Algorithm for Solving Fuzzy | 158 |
Towards Metric Theory of Metric Regularity | 165 |
Shape Extraction by Nonlinear Diffusion | 177 |
Nonlinear Diffusion and Object Segmentation | 183 |
Existence of Cooperative Equilibria in Strategic Form Games | 191 |
Strong Nash Equilibria | 197 |
A Note on Entropy Optimization 205 | 204 |
On the Conjugate of the Entropy | 208 |
81 | 211 |
Boundary Valued Convex Interpolation Using Gregorys Rational | 291 |
97 | 297 |
Formal Definitions and Proof of Theorem 1 | 304 |
Reentrant Corners and Local NonClosedness | 312 |
Final Remarks | 325 |
| 326 | |
Auxiliary Results | 333 |
Constructing Separable Objective Functions | 343 |
Accuracy of the Approximate Preference | 350 |
Banach Lattice V and Sublattices V² Vn and pV 357 | 359 |
On Some Applications and Generalizations of the Polar Forms | 365 |
The Results | 372 |
Fast Least Squares Approximation Using Tensor Products | 383 |
Multiple Tensor Products | 391 |
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Approximation, Optimization and Mathematical Economics: With 14 Tables ... Marc Lassonde Limited preview - 2001 |
Common terms and phrases
A-spline agents algorithm allocation applications approximation assume assumptions Banach space barycenter bounded coefficients Computer consider constraint continuous functions convergence convex convex function Corollary curve defined denote differentiable diffusion discrete dynamic E₁ economy entire function equation estimate exists finite Fix(F function ƒ fuzzy given Hölder spaces i-th inequality integral interpolation iteration L-curve Lemma linear Lipschitz Lipschitz continuous lower semicontinuous Math Mathematical measure method metric space mollification multivalued n,mn Nash equilibrium nonempty nonlinear obtained optimization problem paper parameters players pondered veto population prisoner's dilemma programming properties Proposition quasiconvex quasiconvex functions regularization reinsurance resp satisfies scale-space segmentation sequence smooth solution spline strategy array strategy distribution strategy X subdifferential subset Theorem Theory tion topological values vector veto mechanism zero